Equations in One Variable- Grade 6

Grade 6 examples and questions on equations and problems in one variable with detailed solutions, at the bottom of the page, and explanations are presented. If you find that some of the questions are challenging do not skip
them, spend time on them and work in groups. We learn math by solving challenging questions.

Which of the following is an equation in one variable?

2x + 2

x + 2 = 4

8 = x

4 + x / 3

(x - 8) / 3 = 9

(2x +7) / 3

Which of the following is not an equation?

3x - 9

x/2 + 4 = 6

12 - 7 = 5

8 & x

5 = x / 4

Which of the following values of x satifies the equation 2 x - 4 = 4 ?

x = 0

x = 4

x = 2

x = - 2

Which of the following values of x satifies the equation x / 3 - 1 = 2 ?

x = - 3

x = 6

x = - 9

x = 9

Solve the following equations:

x - 6 = 12

3 = x + 3

2 + x = 8

2 x = 16

x / 3 = 5

Which of the following pairs of equations have the same solution?

x = 2 and 2 x = 4

x + 3 = 6 and x + 4 = 8

x / 2 = 2 and x = - 4

3 x = 9 and x + 1 = 4

What value of x makes the expression 2x + 6 equal to 12?

For what value of x the expressions 4 x + 6 and 2 + 12 have equal values?

The sum of d and 23 is 56. What is that value of d?

Seven subtracted from x is 41. What is that value of x?

The product of y and 6 is 36. What is the value of y?

The division of b by 5 is 4. What is the value of b?

Jacky has x cards and Jimmy has 23 cards. Together they have 121 cards. How many cards does Jacky have?

Jimmy, Toby and Dina contributed a total of $123 to buy a gift for their mother. Of the $123, Jimmy contributed $34 and Dina $45. How much money did Toby contribute for the gift?